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138474024 = 2331331103139
BaseRepresentation
bin10000100000011…
…11001000101000
3100122120012122120
420100033020220
5240422132044
621423551240
73301003233
oct1020171050
9318505576
10138474024
117118a647
123a45b520
13228c48c0
141456841a
15c254519
hex840f228

138474024 has 128 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 40538880.

The previous prime is 138474023. The next prime is 138474031. The reversal of 138474024 is 420474831.

It is not an unprimeable number, because it can be changed into a prime (138474023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996147 + ... + 996285.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2138474024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138474024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

138474024 is an abundant number, since it is smaller than the sum of its proper divisors (252898776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138474024 is a wasteful number, since it uses less digits than its factorization.

138474024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 138474024 is about 11767.4986297004. The cubic root of 138474024 is about 517.3559374017.

It can be divided in two parts, 13847 and 4024, that added together give a palindrome (17871).

The spelling of 138474024 in words is "one hundred thirty-eight million, four hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 103 104 124 139 156 186 206 248 278 309 312 372 403 412 417 556 618 744 806 824 834 1112 1209 1236 1339 1612 1668 1807 2418 2472 2678 3193 3224 3336 3614 4017 4309 4836 5356 5421 6386 7228 8034 8618 9579 9672 10712 10842 12772 12927 14317 14456 16068 17236 19158 21684 25544 25854 28634 32136 34472 38316 41509 42951 43368 51708 56017 57268 76632 83018 85902 103416 112034 114536 124527 166036 168051 171804 186121 224068 249054 332072 336102 343608 372242 443827 448136 498108 558363 672204 744484 887654 996216 1116726 1331481 1344408 1488968 1775308 2233452 2662962 3550616 4466904 5325924 5769751 10651848 11539502 17309253 23079004 34618506 46158008 69237012 138474024